Question

Evaluate using the rules of exponents. $(12)^{-2}$

   Evaluate using the rules of exponents.
$(12)^{-2}$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Sherri Messersmith 3rd Edition

Chapter 6, Problem 10

Instant Answer

Solved by Expert Julie Silva

02/23/2021

Step 1

According to the rules of exponents, a negative exponent means we take the reciprocal of the base. So, we can rewrite $(12)^{-2}$ as $\frac{1}{12^2}$. Show more…

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Evaluate using the rules of exponents. $(12)^{-2}$

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Key Concepts

Negative Exponent Rule

The negative exponent rule states that any nonzero number raised to a negative exponent can be written as the reciprocal of that number raised to the corresponding positive exponent. In general, a^(-n) = 1 / a^(n), which simplifies expressions involving negative powers by converting them into fractions.

Exponentiation

Exponentiation is the operation of raising a number, called the base, to a power indicated by the exponent. This process involves repeated multiplication of the base, and it follows specific rules that allow for simplification and manipulation of expressions, such as the product, quotient, and power rules.

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